2009/06/24 by Pascual Jara, Jara, Pascual, Joaquín Jódar +5
Computer Science · Engineering · Mathematics · #13P10 #41A05 #41A63 #65D05 #65D18 #68U05 #Advanced Numerical Analysis Techniques #Algebra over a field #Algorithm #Applied mathematics #Artificial intelligence #Bicubic interpolation #Bilinear interpolation #Birkhoff interpolation #Commutative Algebra (math.AC) #Computation #Computer science #FOS: Mathematics #Focus (optics) #Hermite interpolation #Hermite polynomials #Interpolation (computer graphics) #Mathematics #Motion (physics) #Multivariate analysis #Multivariate interpolation #Multivariate statistics #Numerical Analysis (math.NA) #Numerical Methods and Algorithms #Physics #Polynomial and algebraic computation #Pure mathematics #Statistics
paper · pdf · doi:10.48550/arxiv.0906.4460
openalex publication_date 2009/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The aim of this work is to show how symbolic computation can be used to perform multivariate Lagrange, Hermite and Birkhoff interpolation and help us to build more realistic interpolating functions. After a theoretical introduction in which we analyze the complexity of the method we shall focus our attention on applications.